CUET Mathematics - Let Z=ux+vy, u,v>0 be the objective function of a linear programming problem. Then the condition on u and v so that the maximum of Z occurs at both points (3,4) and (0,5) is : | PYQs + Solutions

CUET Mathematics 2026 12th May Shift 2

Algebra

Easy

applied

$u=v$

$u=2v$

$u=3v$

$3u=v$

✅ Correct Option: 4

Related questions:

22 May Shift 1

Consider the LPP: Max $Z = 5x + 3y$ subject to $3x + 5y \leq 15, 5x + 2y \leq 10, x \geq 0, y \geq 0$

Match List-I with List-II

List-I	List-II
(A) Objective function	(I) $3x + 5y \geq 15$
(B) One constraint	(II) $x, y \geq 0$
(C) Non-negative restrictions	(III) $Z = 5x + 3y$
(D) Point $(1, 2)$ does not lie in the region	(IV) $3x + 5y \leq 15$

Choose the correct answer from the options given below:

3 June Shift 2

The corner points of the bounded feasible region determined by the system of linear constraints are $(0,8)$ , $(4,4)$ , $(12,12)$ , $(0,20)$ . Let $z = px + qy$ , where $p, q > 0$ . Condition on $p$ and $q$ so that the maximum of $z$ occurs at both the points $(12,12)$ , $(0,20)$ is

29th May Shift 1

The corner points of the bounded feasible region for an LPP are (0, 0), (6, 0), (4, 3) and (0, 8). The objective function $Z=px+qy$ , $p,q>0$ has maximum value 360 at points (6, 0) and (4, 3). The value of $Z$ at (0, 8) is :

CUET Mathematics 2026 12th May Shift 2 PYQs

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